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Laplacian mesh optimization
Abstract
We introduce a framework for triangle shape optimization and feature preserving smoothing of triangular meshes that is guided by the vertex Laplacians, specifically, the uniformly weighted Laplacian and the discrete mean curvature normal. Vertices are relocated so that they approximate prescribed Laplacians and positions in a weighted least-squares sense; the resulting linear system leads to an efficient, non-iterative solution. We provide different weighting schemes and demonstrate the effectiveness of the framework on a number of detailed and highly irregular meshes; our technique successfully improves the quality of the triangulation while remaining faithful to the original surface geometry, and it is also capable of smoothing the surface while preserving geometric features.
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Cited by
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Vallet, B., & Lévy, B. (2008) · Computer Graphics Forum · doi:10.1111/j.1467-8659.2008.01122.x · Cited by 386
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Camuffo, E., Mari, D., & Milani, S. (2022) · Sensors · doi:10.3390/s22041357 · Cited by 73
SEMI-automated liver CT segmentation using Laplacian meshes
Chartrand, G., Cresson, T., Chav, R., Gotra, A., Tang, A., & DeGuise, J. (2014) · 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi.2014.6867952 · Cited by 32
Birds of a Feather: Capturing Avian Shape Models from Images
Wang, Y., Kolotouros, N., Daniilidis, K., & Badger, M. (2021) · 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR) · doi:10.1109/cvpr46437.2021.01450 · Cited by 28
Cito, S., Geers, A. J., Arroyo, M. P., Palero, V. R., Pallarés, J., Vernet, A., Blasco, J., San Román, L., Fu, W., Qiao, A., et al. (2015) · Annals of Biomedical Engineering · doi:10.1007/s10439-014-1082-9 · Cited by 20
Metadata
- Authors
- Nealen, A., Igarashi, T., Sorkine, O., & Alexa, M.
- Venue
- Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
- Publisher
- ACM
- Published
- 2006-11-29
- Pages
- 381-389
- OpenAlex
- W2052069724
- Cited by
- 340
- References
- 0
- FWCI
- 7.93
- Type
- conference paper
- Language
- en
- Open access
- closed
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- Nealen, A., Igarashi, T., Sorkine, O., & Alexa, M. (2006). Laplacian mesh optimization. Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia. https://doi.org/10.1145/1174429.1174494
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